基于自积分Rogowski线圈的脉冲电流传感器的建模研究

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基于自积分Rogowski线圈的脉冲电流传感器的建模研究 Powered By Docstoc
					     29          2                                                                                                                 Vol. 29 No. 2
    2010    4                        Advanced Technology of Electrical Engineering and Energy                                       April 2010




                                   Rogowski


                         B                                                                                       710049J


            7                 Rogowski                      、                                                                      。
            Rogowski                                                                     Rogowski


                、              。                                                                 、
                                                                                                                                   。
                     Rogowski          W              W                      W
                      7 TM835. 2                          7 A                             7 1003-3076X2010J 02-0067-05


                                                                             gowski                                           Ansoft Q3D
1
                                                                                                                            Rogowski
        Rogowski                                                                   、
                                                                                                                                   。

     1 2                                                                     2                        Rogowski
                                                                   3 4
                                                                         、             Rogowski                                              1
                             5 6                                         7
                                                                                             L R C R
                                                                                           M、 0 、 0 、 0 、 f
    。Rogowski                                                                                、                   、                     、
                                                                                                                12-14
                          Rogowski                              、                                                       。
    、
                                            。
        Rogowski                           、


            。                      Rogowski
                                                                                                1    Rogowski
                                                 8                                     Fig. 1    Lumped parameter circuit of Rogowski coil
                RLC                                                 Ro-
gowski
                                                                                                                C0
                                                      、
                                                            9-11             X1J 7
           RLC
                                                                                             di 1 XtN      di 2 XtN
                                                                         。             - M            = L0          + u R 0 + R f J i 2 XtN u1J
                                                                                                dt            dt
                                           Rogowski
                     。               Rogowski
                                                                                                                             X1J
                                                                    Ro-

                        08-
                 7 2009- 27
                 7                                                  X2007E 2 22J
                 7           X1985-J                                                                                                   W
                             X1976-J                                                                                    。
68                                                                                                                                                   29

                                   L0           L0                                                            E
                 i 1 XtN ≈ -          i XtN = -     u XtN                   u2J
                                   M 2          MR f 0                                                                      Vu x = G sN
                                                                                             Vu x = 0 sN = 0                            = Rf
          X2J                               i 1 XtN                           u0                                            Iu x = G sN
XtN                                                                                                            A B
                                                 。                                                                  m
                                                                                                               Rf     I XsNsinhXγψsNGN
                                                                       。                                            l m
                                                                                           Vu G sN =                                                      u4J
                                                                                                        Rf
                                                                                                           coshXγψsNGN + sinhXγψsNGN
3                      Rogowski                                                                         Z0
                                                                                                                               7 | γψsNG |           < <1
                         Rogowski
                                                                                   coshXγψsNGN ≈ 1                  sinhXγψsNGN ≈ γψsNG
                                                              。
                                                                                   Vu G sN ≈ sM tot I m XsNR f / u R f + sL tot J
                                                                   Rogowski
                                                                                                        。
                                                 。
                                                                                                    2
                                                 15
                                          0. 1        。                     Ro-
gowski                                                                 Rogowski
                                                                                                    0
                                                 Rogowski
                                                                                                                                                   Rogowski
            16
                 。                                                16
                                                                                                            7 f h = 1 / u2      L
                                                                                                                               槡 tot C tot J
                         17                                                                                   7 f l = R f / u2πL tot J 。
                                      2
                                  。          l = L total / G
    Zc = C total / G                                      Z       i m XtN
                                                                                                                    。
                                  Zm = M total / G                             。
     x =0                                    x
                                            W =G
Rf 。

                                                                                                                                               。

                                                                                   4       Rogowski

                                                                                                             Rogowski
                                                                                                        、

                              2
            Fig. 2       Element section of transmission line                                  。
                                                                                                              Ansoft Q3D                                  Ro-
                                                      2                            gowski
                 Laplace                              X3J 。                                         Rogowski



                 {
                     dVu x sN                                                                                                                             。
                              = - slIu x sN + smiu sN
                       dx                                                          4. 1     Rogowski
                                                                            ( 3J
                     dIu x sN                                                                               Rogowski
                              = - scVu x s )
                        dx
                                                                                       3        。                                a = 40mm                 b =
                 7s = jω
                                                                                   80mm         h = 24mm                    N = 36             Ф = 0. 5mm
         Vu x sN = Ae - γψsNx + Be γψsNx
                                                                                                   。                                               。
                   A - γψsNx   B γψsNx  M
         Iu x sN =    e      -    e    + i m u sN                                               Ansoft Q3D                           、              、         、
                   Z0          Z0        l
                 EA B                                          Z γψsN = s 槡lc
                                                                                                                             、                                、
                              l
                      Z Z0 = 槡 / c                                      Z                                               。
       2                                     7                     Rogowski                                                                 69




       3                     Rogowski      Ansoft Q3D
           Fig. 3     Simulating model of Rogowski coil with
                     aluminum housing in Ansoft Q3D                                      5   Rogowski
                                                                                    Fig. 5        Measurement and simulation of Rogowski
   0. 25pF                              23. 32pF                                                      coil open-loop characteristic
                5178. 9nH           134. 81nH。
                                                                                                                          m
                                                                                                                    Rf      sinhXγψsNGN
                                                                                         Vu G sN                          l
                45. 5MHz。                                                     Z 21 =              =
                                                                                          I m XsN   Rf
4. 2       Rogowski                                                                                    coshXγψsNGN + sinhXγψsNGN
                                                                                                    Z0
                     L、C                                                                 6                            Rf
                                        11MHz。                                                                    R f = 5. 1Ω
                           10                                                                0. 1327Ω。               6          Rogowski
                14
                     。                                              Ro-                                              Rf
gowski                                                         4                                                            。
   Rogowski                                。

                                                                                    Rf
                                                                                       。




                      4    Rogowski
       Fig. 4    Open-loop equivalent circuit of Rogowski coil




                                                        。
                                                         。
                                                                                                  6    Rogowski
                                                                                         Fig. 6       Transfer impedance of Rogowski coil
                                    Agilent 5. 71B X300kHz ~
8. 5GHzJ
                                                                              5
  XS 11 J                                          5        。
                          140MHz                                                                         Rogowski
                                                         Rogowski
                                    。                                                                       Rogowski
4. 3       Rogowski                                                               Ansoft Q3D
            Rogowski                                                              Rogowski                                 。
                                          Z 21 。       4
                                                       —J
                                7
70                                                                                                                                     29

                                                                              coils in impulse current measurementJ          J .

                                                                 。            XHigh Voltage Eng. J       2005 31X11J 7 6-7.
                                                                         9                                  XLi Weibo        Mao Chengxiong
             —ReferencesJ 7
                                                                              Lu JimingJ .                  Rogowski
1                                 XZhang Tao    Li Peng     Luo Cheng-
                                                                                       XStudy of influence of distributed capacitance on dy-
     muJ .
                                                                              namic property of Rogowski coilJ         J .
               XMeasurement of transient current in high-voltage
                                                                              XTrans. China Electrotechnical SocietyJ            2004 19 X6 J 7
     and power system using Rogowski coilJ            J .
                                                                              12-17.
               XAdv. Tech. of Elec. Eng. & EnergyJ               2002
                                                                         10                             XFang Zhi Zhao Zhongyuan Qiu
     21X3J 7 53-56.
                                                                              YuchangJ . Rogowski                                    XAnalysis
2                                 XWang Jue     Zhang Shichang    Yan
                                                                              on high frequency characteristics of Rogowski coilJ           J .
     PingJ .
                                                                                               XHigh Voltage Eng. J     2002       28 X8 J 7 17-
           XSelf-integrating Rogowski coil for nanosecond current
                                                                              21.
     measurementJ        J .                        XHigh Power La-
                                                                         11   Ray W F Hewson C R. Rogowski transducers for measur-
     ser and Particle BeamsJ         2004 16X3J 7 399-403.
                                                                              ing large magnitude short duration pulses          A . IEE Sym-
3    Jun Kato Tominaga T Kuwabara N. Improved frequency
                                                                              posium on Pulsed Power                           23
                                                                                                           C . May 2000. 23 /1- /4.
     characteristics of large Rogowski coil using lightning sur-
                                                                         12   Dong-Seok In Sugoog Shon Jae-Jo Lee. A study on the
     ges observation        A . Int. Symp. on Electromagnetic
                                                                              implementation of inductive coupler with Rogowski coil for
     Compatibility      C . Tokyo Japan May 1999. 310-313.
                                                                              BPLC       A . International Conference on ATC 2008           C .
4                                      XLin Yunzhi    Wang Xinxin
                                                                              Oct. 2008. 327-330
     Luo ChengmuJ .                                   XA system for
                                                                         13   Kojovic L J A. Application of Rogowski coils used for pro-
     automatic recording of lighting current waveformsJ           J .
                                                                              tective relaying purposes     A . IEEE / PES Power Systems
                            XAdv. Tech. of Elec. Eng. & Ener-
                                                                              Conference and Exposition       C . USA        Oct. 2006. 538-
     gyJ     2000 19X4J 7 59-62.
                                                                              543.
5                                     XLi Weibo    Mao Chengxiong
                                                                         14   Zhu J Yang L Jia J. Design of Rogowski coil with wide
     Li QiyanJ .            III
                                                                              band using for partial discharge measurements                 A .
     XSimulation research on Rogowski coils with SG III high-
                                                                              Proc. of Int. Sym. on Electrical Insulating Materials
     power laserJ     J .                            XProc. CSEEJ
                                                                               C . June 2005. 518-521.
     2003 23 X5J 7 53-57.
                                                                         15   Eric Bogatin.                      XSignal integrity - simpli-
6                                     XYuan Weiqun        Li Baoming
                                                                              fied J     M .                      .          7
     Meng ShaoliangJ .                                    Rogowski
                                                                                    XBeijing7 Publishing House of Electronics IndustryJ
                     XCalibration method of Rogowski coil for ca-
                                                                              2005.
     pacitive pulse power supplyJ         J .                   XHigh
                                                                         16   Dubickas V       Edin H. High-frequency model of the Ro-
     Voltage Eng. J      2006 32X1J 7 42-44.
                                                                              gowski coil with a small number of turns               J . IEEE
7    Zhang Z S       Xiao D M        Li Y. Rogowski air coil sensor
                                                                              Trans. on Instrumentation and Measurement              2007    56
     technique for on-line partial discharge measurement of
                                                                              X6J 7 2284-2288
     power cables     J . IET Science Measurement & Technol-
                                                                         17   Van den Bossche A         Ghijselen J. EMC combined di / dt
     ogy 2009 3X3J 7 187-196.
                                                                              current probe     A . IEEE International Symposium on E-
8                       XKong Qingyuan Dai MinJ .
                                                                              lectromagnetic Compatibility     C . Aug. 2000. 569-573.
             Rogowski                     XApplication of Rogowski



                     Research on modeling of pulsed current sensor based on
                                                self-integrating Rogowski coil

                               KE Chun-jun ZHANG Guo-gang ZHAI Xiao-she GENG Ying-san
                               XState Key Laboratory of Electrical Insulation and Power Equipment
    2                                7             Rogowski                                                       71



                                   Xi'an Jiaotong University Xi'an 710049 ChinaJ


AbstractN Self-integrating Rogowski coils are suitable and widely accepted for pulsed heavy current measurements
due to their accuracy bandwidth wide range and inherent electrical isolation. The high frequency circuit model
of Rogowski coil provides an effective way to acquire its frequency characteristics and would be very helpful to de-
sign reliable and accurate Rogowski coil for measuring pulsed current. In this paper the principle of Rogowski coil
used to measure pulsed current is summarized while some different high frequency models for self-integrating Ro-
gowski coil are introduced. As a first approximation    the distributed parameter model of Rogowski coil has been
made up as a transmission line circuit. With the inter-turn capacitance and mutual inductance of the coils omitted
the expressions of its output voltage and transfer impedance are deduced in the Laplace domain and the factors im-
pacting on the frequency characteristics of the coil are analyzed. In order to obtain the distributed parameters of e-
quivalent circuit a three dimension FEM model of Rogowski coil have been founded in electromagnetic field while
the capacitances and inductances of Rogowski coil are calculated by finite element numerical analysis method. Then
a distributed-element equivalent circuit is established. The simulation result of open-loop frequency characteristics
is presented and transfer impedance of close-loop on the circuit is also calculated using the distributed parameter
circuit. In addition the method of how to select optimal parameters of damp resistance is discussed. Finally       in
comparison with the simulation the experimental results verified that the circuit model is appropriate and the dis-
tributed parameters calculated by FEM method are accurate.
Key wordsN Rogowski coilWpulsed currentWdistributed parameter modelWfrequency characteristics


櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆


X       32     cont. from p. 32u



                  A novel linear combination sampling SPWM technique

                                                WANG Rong-sheng
         XCollege of Electrical Engineering and Automation Fuzhou University Fuzhou 350108 ChinaJ


AbstractN The conventional asymmetric regular sampled PWM requires a large sampling number to be collected
                                                            s
and consequently consumes a large portion of microprocessor’ resources. This paper presents a novel linear combi-
nation sampling technique to address the above-mentioned issue. Through applying the linear combination sampling
on the triangular carrier-wave peaks the technique obtained another sample of the sinusoidal modulating wave from
every carrier wave cycle. As a result it reduced the sampling number by half. Harmonic calculation had validated
that the minimization of total harmonic voltage distortion XTHDJ of the PWM voltage in the new technique was in a-
greement with that in the asymmetric regular sampling method      and it also maintained the linear relationship be-
tween the PWM fundamental waveform and the modulation index M. The software algorithm in the new technique
was much simpler to generate PWM and therefore it will be applicable to real-time on-line microprocessor or DSP
generation. The simulation results had validated the new technique.
Key wordsN linear combination samplingWharmonic calculationWsampling numberWasymmetric regular sampling

				
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posted:4/18/2011
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